Mark Noble has backed the Hammers to overcome the suspension of Andy Carroll by claiming their first back-to-back league wins since 2012 this weekend.
Carroll will sit out Saturday's game at Aston Villa after the Club's appeal against his red card in the Swansea match was dismissed.
The No9 linked up effectively with Kevin Nolan against the Swans, but his absence could give another chance to Carlton Cole, who has notched four goals in his last ten appearances.
Victory at Villa Park could lift the Hammers as high as eleventh in the table and Noble is focused on helping propelling them to the relative safety of mid-table.
He said: "Andy being suspended is obviously a massive miss for us. For him to be back the way he was and then to miss him for another three games is going to be tough, but we have to dig in and get results without him.
"Everyone will have to play their part to try and get us three points away from home.
"We're three points off eleventh, so getting ourselves back in that pack with the win against Swansea was important.
"It would be good to go to Aston Villa and get the three points before another winnable home game against Norwich. We're looking up rather than down at the moment, and even though we're in the bottom three, I'm sure we can claw our way back."
Noble has been delighted with the performances in West Ham's last two fixtures, which not only yielded clean sheets against Chelsea and Swansea, but also four points.
The No16 believes that haul was fully deserved and points to better times ahead in the coming months.
He continued: "We've got what we deserved from the last two games, which hasn't been the case all season.
"We've had a bit of bad luck with injuries, but to get four points from the games against Chelsea and Swansea has been good for the camp.
"It's now eleven clean sheets which, along with Arsenal, is the joint-most in the league. Our downfall was that we couldn't score goals and that's why we're not in mid table or pushing higher.
"We just need to work hard from now until the end of the season and dig in - all the way from the bottom to tenth nobody is safe and if we keep winning we'll drag more and more teams into it."
Looking ahead to Saturday's trip to Aston Villa, Noble says the key could be keeping their lively strike duo quiet.
He explained: "Villa are a good team at home, they counter well and they've had good results lately. But we know we've got enough to go there and get a result.
"Paul Lambert has had to restructure the wage bill there, so he's done a good job with that. He has a lot of young players who are working hard for each other and for the team.
"Then obviously they've got Benteke up front. We need to keep him and Gabby Agbonlahor quiet and hopefully go there and get some points."